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96156672 = 2103113277
BaseRepresentation
bin1011011101100…
…11110000000000
320200221021011020
411232303300000
5144104003142
613312545440
72245214103
oct556636000
9220837136
1096156672
114a306a27
1228252280
1316bc9351
14cab073a
158695cec
hex5bb3c00

96156672 has 88 divisors (see below), whose sum is σ = 259494096. Its totient is φ = 31653888.

The previous prime is 96156659. The next prime is 96156677. The reversal of 96156672 is 27665169.

It is a super-2 number, since 2×961566722 = 18492211140231168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96156677) 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, 346998 + ... + 347274.

Almost surely, 296156672 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 96156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129747048).

96156672 is an abundant number, since it is smaller than the sum of its proper divisors (163337424).

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

96156672 is a wasteful number, since it uses less digits than its factorization.

96156672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 96156672 is about 9805.9508462974. The cubic root of 96156672 is about 458.1346514584.

The spelling of 96156672 in words is "ninety-six million, one hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 277 339 384 452 512 554 678 768 831 904 1024 1108 1356 1536 1662 1808 2216 2712 3072 3324 3616 4432 5424 6648 7232 8864 10848 13296 14464 17728 21696 26592 28928 31301 35456 43392 53184 57856 62602 70912 86784 93903 106368 115712 125204 141824 173568 187806 212736 250408 283648 347136 375612 425472 500816 751224 850944 1001632 1502448 2003264 3004896 4006528 6009792 8013056 12019584 16026112 24039168 32052224 48078336 96156672