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97874364 = 223744379
BaseRepresentation
bin1011101010101…
…11000110111100
320211011112101110
411311113012330
5200023434424
613413442020
72265630000
oct565270674
9224145343
1097874364
115027a505
1228940310
131737b133
14cdda700
1588d4c29
hex5d571bc

97874364 has 120 divisors (see below), whose sum is σ = 276066560. Its totient is φ = 26968032.

The previous prime is 97874323. The next prime is 97874417. The reversal of 97874364 is 46347879.

It is a happy number.

It is a super-2 number, since 2×978743642 = 19158782256808992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1238877 + ... + 1238955.

Almost surely, 297874364 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 97874364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138033280).

97874364 is an abundant number, since it is smaller than the sum of its proper divisors (178192196).

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

97874364 is a wasteful number, since it uses less digits than its factorization.

97874364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 97874364 is about 9893.1473252954. The cubic root of 97874364 is about 460.8465256420.

The spelling of 97874364 in words is "ninety-seven million, eight hundred seventy-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 79 84 86 98 129 147 158 172 196 237 258 294 301 316 343 474 516 553 588 602 686 903 948 1029 1106 1204 1372 1659 1806 2058 2107 2212 2401 3318 3397 3612 3871 4116 4214 4802 6321 6636 6794 7203 7742 8428 9604 10191 11613 12642 13588 14406 14749 15484 20382 23226 23779 25284 27097 28812 29498 40764 44247 46452 47558 54194 58996 71337 81291 88494 95116 103243 108388 142674 162582 166453 176988 189679 206486 285348 309729 325164 332906 379358 412972 499359 569037 619458 665812 758716 998718 1138074 1165171 1238916 1997436 2276148 2330342 3495513 4660684 6991026 8156197 13982052 16312394 24468591 32624788 48937182 97874364