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4100574072 = 2337191284641
BaseRepresentation
bin1111010001101001…
…1100101101111000
3101120202221202010210
43310122130231320
531344221332242
61514521311120
7203421206310
oct36432345570
911522852123
104100574072
111814737aa1
129653354a0
135047065ba
142ac854440
1518eeded9c
hexf469cb78

4100574072 has 64 divisors (see below), whose sum is σ = 12332563200. Its totient is φ = 1109928960.

The previous prime is 4100574061. The next prime is 4100574143. The reversal of 4100574072 is 2704750014.

It is a super-2 number, since 2×41005740722 = 33629415439917322368, which contains 22 as substring.

It is a congruent number.

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, 639129 + ... + 645512.

It is an arithmetic number, because the mean of its divisors is an integer number (192696300).

Almost surely, 24100574072 is an apocalyptic number.

4100574072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4100574072 is an abundant number, since it is smaller than the sum of its proper divisors (8231989128).

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

4100574072 is a wasteful number, since it uses less digits than its factorization.

4100574072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284676 (or 1284672 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 4100574072 is about 64035.7249666153. The cubic root of 4100574072 is about 1600.5953607302.

The spelling of 4100574072 in words is "four billion, one hundred million, five hundred seventy-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 1284641 2569282 3853923 5138564 7707846 8992487 10277128 15415692 17984974 24408179 26977461 30831384 35969948 48816358 53954922 71939896 73224537 97632716 107909844 146449074 170857253 195265432 215819688 292898148 341714506 512571759 585796296 683429012 1025143518 1366858024 2050287036 4100574072