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124628328 = 23331152453
BaseRepresentation
bin1110110110110…
…10110101101000
322200111202221000
413123122311220
5223401101303
620211115000
73042215616
oct733326550
9280452830
10124628328
1164393120
12358a2a60
131ca87796
14127a26b6
15ae1bda3
hex76dad68

124628328 has 64 divisors (see below), whose sum is σ = 377668800. Its totient is φ = 37765440.

The previous prime is 124628297. The next prime is 124628363. The reversal of 124628328 is 823826421.

124628328 is a `hidden beast` number, since 1 + 2 + 4 + 628 + 3 + 28 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 124628292 and 124628301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23851 + ... + 28602.

It is an arithmetic number, because the mean of its divisors is an integer number (5901075).

Almost surely, 2124628328 is an apocalyptic number.

124628328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

124628328 is an abundant number, since it is smaller than the sum of its proper divisors (253040472).

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

124628328 is a wasteful number, since it uses less digits than its factorization.

124628328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52479 (or 52469 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 124628328 is about 11163.7058363251. The cubic root of 124628328 is about 499.5039453557.

The spelling of 124628328 in words is "one hundred twenty-four million, six hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 52453 104906 157359 209812 314718 419624 472077 576983 629436 944154 1153966 1258872 1416231 1730949 1888308 2307932 2832462 3461898 3776616 4615864 5192847 5664924 6923796 10385694 11329848 13847592 15578541 20771388 31157082 41542776 62314164 124628328