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90943488 = 212322467
BaseRepresentation
bin1010110101110…
…11000000000000
320100010102000100
411122323000000
5141240142423
613005122400
72153002236
oct532730000
9210112010
1090943488
1147376209
1226559400
1315ac251c
14c114956
157eb6343
hex56bb000

90943488 has 78 divisors (see below), whose sum is σ = 262800044. Its totient is φ = 30302208.

The previous prime is 90943487. The next prime is 90943513. The reversal of 90943488 is 88434909.

It is a happy number.

It is a super-2 number, since 2×909434882 = 16541436019212288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90943483) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35631 + ... + 38097.

Almost surely, 290943488 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 90943488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131400022).

90943488 is an abundant number, since it is smaller than the sum of its proper divisors (171856556).

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

90943488 is a wasteful number, since it uses less digits than its factorization.

90943488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 90943488 is about 9536.4295205281. The cubic root of 90943488 is about 449.7010162115.

The spelling of 90943488 in words is "ninety million, nine hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2467 3072 4096 4608 4934 6144 7401 9216 9868 12288 14802 18432 19736 22203 29604 36864 39472 44406 59208 78944 88812 118416 157888 177624 236832 315776 355248 473664 631552 710496 947328 1263104 1420992 1894656 2526208 2841984 3789312 5052416 5683968 7578624 10104832 11367936 15157248 22735872 30314496 45471744 90943488