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76276992 = 283119029
BaseRepresentation
bin1001000101111…
…10010100000000
312022112021100210
410202332110000
5124011330432
611322514120
71614225621
oct442762400
9168467323
1076276992
113a069040
1221665940
1312a5891c
14a1b7a48
156a6a8cc
hex48be500

76276992 has 72 divisors (see below), whose sum is σ = 221487840. Its totient is φ = 23111680.

The previous prime is 76276961. The next prime is 76276999. The reversal of 76276992 is 29967267.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76276999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3934 + ... + 12962.

It is an arithmetic number, because the mean of its divisors is an integer number (3076220).

Almost surely, 276276992 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 76276992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110743920).

76276992 is an abundant number, since it is smaller than the sum of its proper divisors (145210848).

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

76276992 is a wasteful number, since it uses less digits than its factorization.

76276992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059 (or 9045 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 76276992 is about 8733.6700189554. The cubic root of 76276992 is about 424.0963350584.

The spelling of 76276992 in words is "seventy-six million, two hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 9029 18058 27087 36116 54174 72232 99319 108348 144464 198638 216696 288928 297957 397276 433392 577856 595914 794552 866784 1155712 1191828 1589104 1733568 2311424 2383656 3178208 3467136 4767312 6356416 6934272 9534624 12712832 19069248 25425664 38138496 76276992