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52924104 = 2334235367
BaseRepresentation
bin1100100111100…
…0111011001000
310200120211020000
43021320323020
5102022032404
65130203000
71211563452
oct311707310
9120524200
1052924104
1127968732
1215883460
13ac7034c
1470592d2
1549a6339
hex3278ec8

52924104 has 160 divisors (see below), whose sum is σ = 159952320. Its totient is φ = 16308864.

The previous prime is 52924061. The next prime is 52924129. The reversal of 52924104 is 40142925.

52924104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 789879 + ... + 789945.

It is an arithmetic number, because the mean of its divisors is an integer number (999702).

Almost surely, 252924104 is an apocalyptic number.

52924104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52924104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79976160).

52924104 is an abundant number, since it is smaller than the sum of its proper divisors (107028216).

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

52924104 is a wasteful number, since it uses less digits than its factorization.

52924104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52924104 is about 7274.8954631665. The cubic root of 52924104 is about 375.4491897281.

The spelling of 52924104 in words is "fifty-two million, nine hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 53 54 67 69 72 81 92 106 108 134 138 159 162 184 201 207 212 216 268 276 318 324 402 414 424 477 536 552 603 621 636 648 804 828 954 1206 1219 1242 1272 1431 1541 1608 1656 1809 1863 1908 2412 2438 2484 2862 3082 3551 3618 3657 3726 3816 4293 4623 4824 4876 4968 5427 5724 6164 7102 7236 7314 7452 8586 9246 9752 10653 10854 10971 11448 12328 13869 14204 14472 14628 14904 17172 18492 21306 21708 21942 27738 28408 29256 31959 32913 34344 36984 41607 42612 43416 43884 55476 63918 65826 81673 83214 85224 87768 95877 98739 110952 124821 127836 131652 163346 166428 191754 197478 245019 249642 255672 263304 287631 326692 332856 383508 394956 490038 499284 575262 653384 735057 767016 789912 980076 998568 1150524 1470114 1960152 2205171 2301048 2940228 4410342 5880456 6615513 8820684 13231026 17641368 26462052 52924104