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48636420 = 22357271233
BaseRepresentation
bin1011100110001…
…0001000000100
310101111222121220
42321202020010
544422331140
64454240340
71130255100
oct271421004
9111458556
1048636420
11254aa298
12143560b0
13a0cb861
146660900
15440abd0
hex2e62204

48636420 has 144 divisors (see below), whose sum is σ = 161336448. Its totient is φ = 10913280.

The previous prime is 48636407. The next prime is 48636437. The reversal of 48636420 is 2463684.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208624 + ... + 208856.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 248636420 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 48636420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

48636420 is an abundant number, since it is smaller than the sum of its proper divisors (112700028).

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

48636420 is a wasteful number, since it uses less digits than its factorization.

48636420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 48636420 is about 6973.9816460900. The cubic root of 48636420 is about 365.0232549142.

The spelling of 48636420 in words is "forty-eight million, six hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 71 84 98 105 140 142 147 196 210 213 233 245 284 294 355 420 426 466 490 497 588 699 710 735 852 932 980 994 1065 1165 1398 1420 1470 1491 1631 1988 2130 2330 2485 2796 2940 2982 3262 3479 3495 4260 4660 4893 4970 5964 6524 6958 6990 7455 8155 9786 9940 10437 11417 13916 13980 14910 16310 16543 17395 19572 20874 22834 24465 29820 32620 33086 34251 34790 41748 45668 48930 49629 52185 57085 66172 68502 69580 82715 97860 99258 104370 114170 115801 137004 165430 171255 198516 208740 228340 231602 248145 330860 342510 347403 463204 496290 579005 685020 694806 810607 992580 1158010 1389612 1621214 1737015 2316020 2431821 3242428 3474030 4053035 4863642 6948060 8106070 9727284 12159105 16212140 24318210 48636420