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72403104 = 2533124329
BaseRepresentation
bin1000101000011…
…00100010100000
312001020110101110
410110030202200
5122013344404
611103503320
71536262524
oct424144240
9161213343
1072403104
1137962584
12202b7b40
1312000597
149889d84
156552b89
hex450c8a0

72403104 has 48 divisors (see below), whose sum is σ = 196197120. Its totient is φ = 23354880.

The previous prime is 72403087. The next prime is 72403109. The reversal of 72403104 is 40130427.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (72403109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9189 + ... + 15140.

It is an arithmetic number, because the mean of its divisors is an integer number (4087440).

Almost surely, 272403104 is an apocalyptic number.

It is an amenable number.

72403104 is an abundant number, since it is smaller than the sum of its proper divisors (123794016).

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

72403104 is a wasteful number, since it uses less digits than its factorization.

72403104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24373 (or 24365 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72403104 is about 8509.0013515101. The cubic root of 72403104 is about 416.7916999341.

The spelling of 72403104 in words is "seventy-two million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 24329 48658 72987 97316 145974 194632 291948 389264 583896 754199 778528 1167792 1508398 2262597 2335584 3016796 4525194 6033592 9050388 12067184 18100776 24134368 36201552 72403104