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90914772 = 223131937829
BaseRepresentation
bin1010110101100…
…11111111010100
320100001221121210
411122303333110
5141233233042
613004341420
72152522434
oct532637724
9210057553
1090914772
1147356683
1226544870
1315ab2430
14c1082c4
157eaca9c
hex56b3fd4

90914772 has 96 divisors (see below), whose sum is σ = 247273600. Its totient is φ = 25754112.

The previous prime is 90914767. The next prime is 90914783. The reversal of 90914772 is 27741909.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 90914772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109254 + ... + 110082.

Almost surely, 290914772 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 90914772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123636800).

90914772 is an abundant number, since it is smaller than the sum of its proper divisors (156358828).

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

90914772 is a wasteful number, since it uses less digits than its factorization.

90914772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 90914772 is about 9534.9238067223. The cubic root of 90914772 is about 449.6536792183.

The spelling of 90914772 in words is "ninety million, nine hundred fourteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 19 26 37 38 39 52 57 74 76 78 111 114 148 156 222 228 247 444 481 494 703 741 829 962 988 1406 1443 1482 1658 1924 2109 2487 2812 2886 2964 3316 4218 4974 5772 8436 9139 9948 10777 15751 18278 21554 27417 30673 31502 32331 36556 43108 47253 54834 61346 63004 64662 92019 94506 109668 122692 129324 184038 189012 204763 368076 398749 409526 582787 614289 797498 819052 1165574 1196247 1228578 1594996 1748361 2331148 2392494 2457156 3496722 4784988 6993444 7576231 15152462 22728693 30304924 45457386 90914772