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97133876 = 22722329743
BaseRepresentation
bin1011100101000…
…10010100110100
320202202220121222
411302202110310
5144331241001
613345525512
72256424100
oct562422464
9222686558
1097133876
114a914134
1228643898
131717c088
14cc86900
1587da61b
hex5ca2534

97133876 has 72 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 38394048.

The previous prime is 97133867. The next prime is 97133887. The reversal of 97133876 is 67833179.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130361 + ... + 131103.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 297133876 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 97133876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

97133876 is an abundant number, since it is smaller than the sum of its proper divisors (116602444).

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

97133876 is a wasteful number, since it uses less digits than its factorization.

97133876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 804 counting only the distinct ones).

The product of its digits is 190512, while the sum is 44.

The square root of 97133876 is about 9855.6519824921. The cubic root of 97133876 is about 459.6813735521.

The spelling of 97133876 in words is "ninety-seven million, one hundred thirty-three thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 23 28 29 46 49 58 92 98 116 161 196 203 322 406 644 667 743 812 1127 1334 1421 1486 2254 2668 2842 2972 4508 4669 5201 5684 9338 10402 17089 18676 20804 21547 32683 34178 36407 43094 65366 68356 72814 86188 119623 130732 145628 150829 239246 301658 478492 495581 603316 837361 991162 1055803 1674722 1982324 2111606 3349444 3469067 4223212 6938134 13876268 24283469 48566938 97133876