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76542492 = 223133789149
BaseRepresentation
bin1001000111111…
…11001000011100
312100000202120010
410203333020130
5124043324432
611332323220
71616412645
oct443771034
9170022503
1076542492
113a22a564
1221773510
1312b1c720
14a2466cc
156abe3cc
hex48ff21c

76542492 has 96 divisors (see below), whose sum is σ = 201096000. Its totient is φ = 22505472.

The previous prime is 76542491. The next prime is 76542509. The reversal of 76542492 is 29424567.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 76542492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76542491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513634 + ... + 513782.

It is an arithmetic number, because the mean of its divisors is an integer number (2094750).

Almost surely, 276542492 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 76542492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548000).

76542492 is an abundant number, since it is smaller than the sum of its proper divisors (124553508).

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

76542492 is a wasteful number, since it uses less digits than its factorization.

76542492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 76542492 is about 8748.8566110092. The cubic root of 76542492 is about 424.5878209149.

The spelling of 76542492 in words is "seventy-six million, five hundred forty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 89 111 148 149 156 178 222 267 298 356 444 447 481 534 596 894 962 1068 1157 1443 1788 1924 1937 2314 2886 3293 3471 3874 4628 5513 5772 5811 6586 6942 7748 9879 11026 11622 13172 13261 13884 16539 19758 22052 23244 26522 33078 39516 39783 42809 53044 66156 71669 79566 85618 128427 143338 159132 171236 172393 215007 256854 286676 344786 430014 490657 513708 517179 689572 860028 981314 1034358 1471971 1962628 2068716 2943942 5887884 6378541 12757082 19135623 25514164 38271246 76542492