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76325376 = 293173779
BaseRepresentation
bin1001000110010…
…10001000000000
312022121201201210
410203022020000
5124014403001
611323530120
71614516651
oct443121000
9168551653
1076325376
113a0a1426
1221689940
1312a7495a
14a1cb528
156a79dd6
hex48ca200

76325376 has 160 divisors (see below), whose sum is σ = 223914240. Its totient is φ = 23003136.

The previous prime is 76325371. The next prime is 76325377. The reversal of 76325376 is 67352367.

It is a super-3 number, since 3×763253763 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76325371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966105 + ... + 966183.

It is an arithmetic number, because the mean of its divisors is an integer number (1399464).

Almost surely, 276325376 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 76325376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111957120).

76325376 is an abundant number, since it is smaller than the sum of its proper divisors (147588864).

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

76325376 is a wasteful number, since it uses less digits than its factorization.

76325376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its digits is 158760, while the sum is 39.

The square root of 76325376 is about 8736.4395493817. The cubic root of 76325376 is about 424.1859869942.

The spelling of 76325376 in words is "seventy-six million, three hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 79 96 102 111 128 136 148 158 192 204 222 237 256 272 296 316 384 408 444 474 512 544 592 629 632 768 816 888 948 1088 1184 1258 1264 1343 1536 1632 1776 1887 1896 2176 2368 2516 2528 2686 2923 3264 3552 3774 3792 4029 4352 4736 5032 5056 5372 5846 6528 7104 7548 7584 8058 8704 8769 9472 10064 10112 10744 11692 13056 14208 15096 15168 16116 17538 18944 20128 20224 21488 23384 26112 28416 30192 30336 32232 35076 40256 40448 42976 46768 49691 56832 60384 60672 64464 70152 80512 85952 93536 99382 120768 121344 128928 140304 149073 161024 171904 187072 198764 241536 257856 280608 298146 322048 343808 374144 397528 483072 515712 561216 596292 687616 748288 795056 966144 1031424 1122432 1192584 1496576 1590112 2062848 2244864 2385168 3180224 4489728 4770336 6360448 9540672 12720896 19081344 25441792 38162688 76325376