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256383990 = 232523211587
BaseRepresentation
bin11110100100000…
…01101111110110
3122212102122201100
433102001233312
51011113241430
641235110530
76232141122
oct1722015766
9585378640
10256383990
111217a40a5
1271a42446
1341169405
142609c582
1517795960
hexf481bf6

256383990 has 96 divisors (see below), whose sum is σ = 700068096. Its totient is φ = 64975680.

The previous prime is 256383943. The next prime is 256384039. The reversal of 256383990 is 99383652.

256383990 is a `hidden beast` number, since 2 + 5 + 638 + 3 + 9 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 436477 + ... + 437063.

It is an arithmetic number, because the mean of its divisors is an integer number (7292376).

Almost surely, 2256383990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256383990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350034048).

256383990 is an abundant number, since it is smaller than the sum of its proper divisors (443684106).

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

256383990 is a wasteful number, since it uses less digits than its factorization.

256383990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 256383990 is about 16011.9951911059. The cubic root of 256383990 is about 635.2777341303.

The spelling of 256383990 in words is "two hundred fifty-six million, three hundred eighty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 211 230 345 414 422 587 633 690 1035 1055 1174 1266 1761 1899 2070 2110 2935 3165 3522 3798 4853 5283 5870 6330 8805 9495 9706 10566 13501 14559 17610 18990 24265 26415 27002 29118 40503 43677 48530 52830 67505 72795 81006 87354 121509 123857 135010 145590 202515 218385 243018 247714 371571 405030 436770 607545 619285 743142 1114713 1215090 1238570 1857855 2229426 2848711 3715710 5573565 5697422 8546133 11147130 14243555 17092266 25638399 28487110 42730665 51276798 85461330 128191995 256383990