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90836448 = 25331131233
BaseRepresentation
bin1010110101000…
…00110111100000
320022220222011220
411122200313200
5141223231243
613002535040
72152045203
oct532406740
9208828156
1090836448
114730284a
1226507480
1315a858a1
14c0c793a
157e94783
hex56a0de0

90836448 has 96 divisors (see below), whose sum is σ = 249080832. Its totient is φ = 28953600.

The previous prime is 90836441. The next prime is 90836467. The reversal of 90836448 is 84463809.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90836441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389740 + ... + 389972.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592).

Almost surely, 290836448 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 90836448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124540416).

90836448 is an abundant number, since it is smaller than the sum of its proper divisors (158244384).

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

90836448 is a wasteful number, since it uses less digits than its factorization.

90836448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 90836448 is about 9530.8157048597. The cubic root of 90836448 is about 449.5245150477.

The spelling of 90836448 in words is "ninety million, eight hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 131 186 233 248 262 372 393 466 496 524 699 744 786 932 992 1048 1398 1488 1572 1864 2096 2796 2976 3144 3728 4061 4192 5592 6288 7223 7456 8122 11184 12183 12576 14446 16244 21669 22368 24366 28892 30523 32488 43338 48732 57784 61046 64976 86676 91569 97464 115568 122092 129952 173352 183138 194928 231136 244184 346704 366276 389856 488368 693408 732552 946213 976736 1465104 1892426 2838639 2930208 3784852 5677278 7569704 11354556 15139408 22709112 30278816 45418224 90836448