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3875023296 = 263213015171
BaseRepresentation
bin1110011011111000…
…0010100111000000
3101000001112120122100
43212332002213000
530414001221141
61440303110400
7165012104004
oct34676024700
911001476570
103875023296
1117093933a1
129018a2400
13499a744c1
1428a900704
1517a2da0b6
hexe6f829c0

3875023296 has 84 divisors (see below), whose sum is σ = 11117741544. Its totient is φ = 1290432000.

The previous prime is 3875023277. The next prime is 3875023307. The reversal of 3875023296 is 6923205783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 746791 + ... + 751961.

It is an arithmetic number, because the mean of its divisors is an integer number (132354066).

Almost surely, 23875023296 is an apocalyptic number.

3875023296 is a gapful number since it is divisible by the number (36) 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 3875023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558870772).

3875023296 is an abundant number, since it is smaller than the sum of its proper divisors (7242718248).

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

3875023296 is a wasteful number, since it uses less digits than its factorization.

3875023296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 6477 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3875023296 is about 62249.6851076373. The cubic root of 3875023296 is about 1570.6934737852.

The spelling of 3875023296 in words is "three billion, eight hundred seventy-five million, twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1301 2602 3903 5171 5204 7806 10342 10408 11709 15513 15612 20684 20816 23418 31026 31224 41368 41632 46539 46836 62052 62448 82736 83264 93078 93672 124104 124896 165472 186156 187344 248208 249792 330944 372312 374688 496416 744624 749376 992832 1489248 2978496 6727471 13454942 20182413 26909884 40364826 53819768 60547239 80729652 107639536 121094478 161459304 215279072 242188956 322918608 430558144 484377912 645837216 968755824 1291674432 1937511648 3875023296