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375412428 = 223317732801
BaseRepresentation
bin10110011000000…
…101011011001100
3222011101221001000
4112120011123030
51232101144203
6101130220300
712205644606
oct2630053314
9864357030
10375412428
11182a01a06
12a5884690
135ca13041
1437c04176
1522e584a3
hex166056cc

375412428 has 96 divisors (see below), whose sum is σ = 1045033920. Its totient is φ = 116121600.

The previous prime is 375412423. The next prime is 375412487. The reversal of 375412428 is 824214573.

It is a happy number.

375412428 is a `hidden beast` number, since 375 + 41 + 242 + 8 = 666.

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 = 375412392 and 375412401.

It is not an unprimeable number, because it can be changed into a prime (375412423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132628 + ... + 135428.

It is an arithmetic number, because the mean of its divisors is an integer number (10885770).

Almost surely, 2375412428 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 375412428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522516960).

375412428 is an abundant number, since it is smaller than the sum of its proper divisors (669621492).

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

375412428 is a wasteful number, since it uses less digits than its factorization.

375412428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2896 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 375412428 is about 19375.5626498948. The cubic root of 375412428 is about 721.3890545647.

The spelling of 375412428 in words is "three hundred seventy-five million, four hundred twelve thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 73 102 108 146 153 204 219 292 306 438 459 612 657 876 918 1241 1314 1836 1971 2482 2628 2801 3723 3942 4964 5602 7446 7884 8403 11169 11204 14892 16806 22338 25209 33507 33612 44676 47617 50418 67014 75627 95234 100836 134028 142851 151254 190468 204473 285702 302508 408946 428553 571404 613419 817892 857106 1226838 1285659 1714212 1840257 2453676 2571318 3476041 3680514 5142636 5520771 6952082 7361028 10428123 11041542 13904164 20856246 22083084 31284369 41712492 62568738 93853107 125137476 187706214 375412428