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616672672 = 257111072339
BaseRepresentation
bin100100110000011…
…010110110100000
31120222101012212121
4210300122312200
52230332011142
6141105234024
721165426340
oct4460326640
91528335777
10616672672
11297106340
12152632914
139a9b5695
145bc86d20
1539212c67
hex24c1ada0

616672672 has 96 divisors (see below), whose sum is σ = 1528450560. Its totient is φ = 237914880.

The previous prime is 616672663. The next prime is 616672687. The reversal of 616672672 is 276276616.

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, 262479 + ... + 264817.

It is an arithmetic number, because the mean of its divisors is an integer number (15921360).

Almost surely, 2616672672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280).

616672672 is an abundant number, since it is smaller than the sum of its proper divisors (911777888).

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

616672672 is a wasteful number, since it uses less digits than its factorization.

616672672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2466 counting only the distinct ones).

The product of its digits is 254016, while the sum is 43.

The square root of 616672672 is about 24832.8949580994. The cubic root of 616672672 is about 851.1737749142.

The spelling of 616672672 in words is "six hundred sixteen million, six hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 107 112 154 176 214 224 308 352 428 616 749 856 1177 1232 1498 1712 2339 2354 2464 2996 3424 4678 4708 5992 8239 9356 9416 11984 16373 16478 18712 18832 23968 25729 32746 32956 37424 37664 51458 65492 65912 74848 102916 130984 131824 180103 205832 250273 261968 263648 360206 411664 500546 523936 720412 823328 1001092 1440824 1751911 2002184 2753003 2881648 3503822 4004368 5506006 5763296 7007644 8008736 11012012 14015288 19271021 22024024 28030576 38542042 44048048 56061152 77084084 88096096 154168168 308336336 616672672