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1961602256 = 2417191133359
BaseRepresentation
bin111010011101011…
…1010110011010000
312001201002201102102
41310322322303100
513004132233011
6522351535532
766416226005
oct16472726320
95051081372
101961602256
11917300899
12468b2a5a8
13253521bc3
141487418ac
15b732a73b
hex74ebacd0

1961602256 has 80 divisors (see below), whose sum is σ = 4274726400. Its totient is φ = 866525184.

The previous prime is 1961602241. The next prime is 1961602261. The reversal of 1961602256 is 6522061691.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582305 + ... + 585663.

It is an arithmetic number, because the mean of its divisors is an integer number (53434080).

Almost surely, 21961602256 is an apocalyptic number.

1961602256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961602256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137363200).

1961602256 is an abundant number, since it is smaller than the sum of its proper divisors (2313124144).

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

1961602256 is a wasteful number, since it uses less digits than its factorization.

1961602256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 1961602256 is about 44289.9791826549. The cubic root of 1961602256 is about 1251.8058710873.

The spelling of 1961602256 in words is "one billion, nine hundred sixty-one million, six hundred two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 113 136 152 226 272 304 323 452 646 904 1292 1808 1921 2147 2584 3359 3842 4294 5168 6718 7684 8588 13436 15368 17176 26872 30736 34352 36499 53744 57103 63821 72998 114206 127642 145996 228412 255284 291992 379567 456824 510568 583984 759134 913648 1021136 1084957 1518268 2169914 3036536 4339828 6073072 6452639 7211773 8679656 12905278 14423546 17359312 25810556 28847092 51621112 57694184 103242224 115388368 122600141 245200282 490400564 980801128 1961602256