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104242572 = 22337178111
BaseRepresentation
bin1100011011010…
…01110110001100
321021011001221000
412031221312030
5203141230242
614202140300
72404022130
oct615516614
9237131830
10104242572
1153929a95
122aab1690
131879a8c5
14dbb73c0
159241a4c
hex6369d8c

104242572 has 96 divisors (see below), whose sum is σ = 327075840. Its totient is φ = 28028160.

The previous prime is 104242549. The next prime is 104242577. The reversal of 104242572 is 275242401.

104242572 is a `hidden beast` number, since 10 + 42 + 42 + 572 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (104242577) 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, 8797 + ... + 16907.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 2104242572 is an apocalyptic number.

104242572 is a gapful number since it is divisible by the number (12) 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 104242572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

104242572 is an abundant number, since it is smaller than the sum of its proper divisors (222833268).

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

104242572 is a wasteful number, since it uses less digits than its factorization.

104242572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8148 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 104242572 is about 10209.9251711264. The cubic root of 104242572 is about 470.6322741372.

Adding to 104242572 its reverse (275242401), we get a palindrome (379484973).

It can be divided in two parts, 10424 and 2572, that added together give a square (12996 = 1142).

The spelling of 104242572 in words is "one hundred four million, two hundred forty-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 6426 8111 12852 16222 24333 32444 48666 56777 72999 97332 113554 137887 145998 170331 218997 227108 275774 291996 340662 413661 437994 510993 551548 681324 827322 875988 965209 1021986 1240983 1532979 1654644 1930418 2043972 2481966 2895627 3065958 3722949 3860836 4963932 5791254 6131916 7445898 8686881 11582508 14891796 17373762 26060643 34747524 52121286 104242572