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97238016 = 210333517
BaseRepresentation
bin1011100101110…
…11110000000000
320202222012111000
411302323300000
5144343104031
613352052000
72260336521
oct562736000
9222865430
1097238016
114a9853a7
1228694000
13171b75b5
14ccb2848
15880b3e6
hex5cbbc00

97238016 has 88 divisors (see below), whose sum is σ = 288053840. Its totient is φ = 32403456.

The previous prime is 97238003. The next prime is 97238021. The reversal of 97238016 is 61083279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25890 + ... + 29406.

Almost surely, 297238016 is an apocalyptic number.

97238016 is a gapful number since it is divisible by the number (96) 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 97238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144026920).

97238016 is an abundant number, since it is smaller than the sum of its proper divisors (190815824).

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

97238016 is a wasteful number, since it uses less digits than its factorization.

97238016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97238016 is about 9860.9338300183. The cubic root of 97238016 is about 459.8455940498.

The spelling of 97238016 in words is "ninety-seven million, two hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 3517 4608 6912 7034 9216 10551 13824 14068 21102 27648 28136 31653 42204 56272 63306 84408 94959 112544 126612 168816 189918 225088 253224 337632 379836 450176 506448 675264 759672 900352 1012896 1350528 1519344 1800704 2025792 2701056 3038688 3601408 4051584 5402112 6077376 8103168 10804224 12154752 16206336 24309504 32412672 48619008 97238016