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45878076 = 2234374389
BaseRepresentation
bin1010111100000…
…0101100111100
310012022211220000
42233000230330
543221044301
64315154300
71064646216
oct257005474
9105284800
1045878076
1123995972
1213445990
1396741ba
1461435b6
154063786
hex2bc0b3c

45878076 has 120 divisors (see below), whose sum is σ = 127456560. Its totient is φ = 14370048.

The previous prime is 45878071. The next prime is 45878081. The reversal of 45878076 is 67087854.

45878076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45878071) and next prime (45878081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45878071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 515440 + ... + 515528.

It is an arithmetic number, because the mean of its divisors is an integer number (1062138).

Almost surely, 245878076 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 45878076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63728280).

45878076 is an abundant number, since it is smaller than the sum of its proper divisors (81578484).

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

45878076 is a wasteful number, since it uses less digits than its factorization.

45878076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 45878076 is about 6773.3356627293. The cubic root of 45878076 is about 357.9879421258.

The spelling of 45878076 in words is "forty-five million, eight hundred seventy-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 43 54 74 81 86 89 108 111 129 148 162 172 178 222 258 267 324 333 356 387 444 516 534 666 774 801 999 1068 1161 1332 1548 1591 1602 1998 2322 2403 2997 3182 3204 3293 3483 3827 3996 4644 4773 4806 5994 6364 6586 6966 7209 7654 9546 9612 9879 11481 11988 13172 13932 14319 14418 15308 19092 19758 22962 28638 28836 29637 34443 39516 42957 45924 57276 59274 68886 85914 88911 103329 118548 128871 137772 141599 171828 177822 206658 257742 266733 283198 309987 355644 413316 424797 515484 533466 566396 619974 849594 1066932 1239948 1274391 1699188 2548782 3823173 5097564 7646346 11469519 15292692 22939038 45878076