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4532116428 = 2233721750377
BaseRepresentation
bin1000011100010001…
…01001101111001100
3102200211222100222000
410032020221233030
533240210211203
62025414552300
7220211232300
oct41610515714
912624870860
104532116428
111a16297174
12a65968690
13572c3cbc8
1430dca9d00
151b7d344a3
hex10e229bcc

4532116428 has 144 divisors (see below), whose sum is σ = 14472591840. Its totient is φ = 1218696192.

The previous prime is 4532116427. The next prime is 4532116429. The reversal of 4532116428 is 8246112354.

It is a happy number.

4532116428 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 1 + 1 + 642 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4532116427) and next prime (4532116429).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4532116392 and 4532116401.

It is not an unprimeable number, because it can be changed into a prime (4532116427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64776 + ... + 115152.

It is an arithmetic number, because the mean of its divisors is an integer number (100504110).

Almost surely, 24532116428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4532116428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236295920).

4532116428 is an abundant number, since it is smaller than the sum of its proper divisors (9940475412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4532116428 is a wasteful number, since it uses less digits than its factorization.

4532116428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50421 (or 50406 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4532116428 is about 67320.9954471857. The cubic root of 4532116428 is about 1654.8819511580.

The spelling of 4532116428 in words is "four billion, five hundred thirty-two million, one hundred sixteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 49 51 54 63 68 84 98 102 108 119 126 147 153 189 196 204 238 252 294 306 357 378 441 459 476 588 612 714 756 833 882 918 1071 1323 1428 1666 1764 1836 2142 2499 2646 3213 3332 4284 4998 5292 6426 7497 9996 12852 14994 22491 29988 44982 50377 89964 100754 151131 201508 302262 352639 453393 604524 705278 856409 906786 1057917 1360179 1410556 1712818 1813572 2115834 2468473 2569227 2720358 3173751 3425636 4231668 4936946 5138454 5440716 5994863 6347502 7405419 7707681 9521253 9873892 10276908 11989726 12695004 14810838 15415362 17984589 19042506 22216257 23123043 23979452 29621676 30830724 35969178 38085012 41964041 44432514 46246086 53953767 66648771 71938356 83928082 88865028 92492172 107907534 125892123 133297542 161861301 167856164 215815068 251784246 266595084 323722602 377676369 503568492 647445204 755352738 1133029107 1510705476 2266058214 4532116428