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76909056 = 293723311
BaseRepresentation
bin1001001010110…
…00101000000000
312100201101101120
410211120220000
5124142042211
611344232240
71622500440
oct445305000
9170641346
1076909056
113a45aa04
122190b680
1312c1a523
14a300120
156b42d06
hex4958a00

76909056 has 160 divisors (see below), whose sum is σ = 245127168. Its totient is φ = 20951040.

The previous prime is 76909031. The next prime is 76909057. The reversal of 76909056 is 65090967.

It is a super-2 number, since 2×769090562 = 11830005789622272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 76908999 and 76909017.

It is not an unprimeable number, because it can be changed into a prime (76909057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247141 + ... + 247451.

Almost surely, 276909056 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 76909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584).

76909056 is an abundant number, since it is smaller than the sum of its proper divisors (168218112).

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

76909056 is a wasteful number, since it uses less digits than its factorization.

76909056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 76909056 is about 8769.7808410473. The cubic root of 76909056 is about 425.2645292041.

The spelling of 76909056 in words is "seventy-six million, nine hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 311 322 336 368 384 448 483 512 552 622 644 672 736 768 896 933 966 1104 1244 1288 1344 1472 1536 1792 1866 1932 2177 2208 2488 2576 2688 2944 3584 3732 3864 4354 4416 4976 5152 5376 5888 6531 7153 7464 7728 8708 8832 9952 10304 10752 11776 13062 14306 14928 15456 17416 17664 19904 20608 21459 26124 28612 29856 30912 34832 35328 39808 41216 42918 50071 52248 57224 59712 61824 69664 79616 82432 85836 100142 104496 114448 119424 123648 139328 150213 159232 171672 200284 208992 228896 238848 247296 278656 300426 343344 400568 417984 457792 477696 557312 600852 686688 801136 835968 915584 1114624 1201704 1373376 1602272 1671936 1831168 2403408 2746752 3204544 3343872 3662336 4806816 5493504 6409088 9613632 10987008 12818176 19227264 25636352 38454528 76909056