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90691392 = 26311231867
BaseRepresentation
bin1010110011111…
…01011101000000
320022122121012110
411121331131000
5141204111032
612555455320
72150602251
oct531753500
9208577173
1090691392
1147213870
1226457540
1315a3485c
14c08ab28
157e667cc
hex567d740

90691392 has 112 divisors (see below), whose sum is σ = 273295872. Its totient is φ = 26273280.

The previous prime is 90691373. The next prime is 90691453. The reversal of 90691392 is 29319609.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90691392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47643 + ... + 49509.

Almost surely, 290691392 is an apocalyptic number.

90691392 is a gapful number since it is divisible by the number (92) 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 90691392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136647936).

90691392 is an abundant number, since it is smaller than the sum of its proper divisors (182604480).

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

90691392 is a wasteful number, since it uses less digits than its factorization.

90691392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 90691392 is about 9523.2028225802. The cubic root of 90691392 is about 449.2851068607.

The spelling of 90691392 in words is "ninety million, six hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 1867 2024 2112 2208 3036 3734 4048 4416 5601 6072 7468 8096 11202 12144 14936 16192 20537 22404 24288 29872 41074 42941 44808 48576 59744 61611 82148 85882 89616 119488 123222 128823 164296 171764 179232 246444 257646 328592 343528 358464 472351 492888 515292 657184 687056 944702 985776 1030584 1314368 1374112 1417053 1889404 1971552 2061168 2748224 2834106 3778808 3943104 4122336 5668212 7557616 8244672 11336424 15115232 22672848 30230464 45345696 90691392