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90897408 = 2103271409
BaseRepresentation
bin1010110101011…
…11110000000000
320100001001210200
411122233300000
5141232204113
613004125200
72152421010
oct532576000
9210031720
1090897408
1147344628
1226536800
1315aa7564
14c101c40
157ea7873
hex56afc00

90897408 has 132 divisors (see below), whose sum is σ = 300172080. Its totient is φ = 25952256.

The previous prime is 90897379. The next prime is 90897409. The reversal of 90897408 is 80479809.

It is a super-2 number, since 2×908974082 = 16524677562236928, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90897409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63808 + ... + 65216.

Almost surely, 290897408 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 90897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150086040).

90897408 is an abundant number, since it is smaller than the sum of its proper divisors (209274672).

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

90897408 is a wasteful number, since it uses less digits than its factorization.

90897408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 90897408 is about 9534.0132158499. The cubic root of 90897408 is about 449.6250506341.

The spelling of 90897408 in words is "ninety million, eight hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1409 1536 1792 2016 2304 2688 2818 3072 3584 4032 4227 4608 5376 5636 7168 8064 8454 9216 9863 10752 11272 12681 16128 16908 19726 21504 22544 25362 29589 32256 33816 39452 45088 50724 59178 64512 67632 78904 88767 90176 101448 118356 135264 157808 177534 180352 202896 236712 270528 315616 355068 360704 405792 473424 541056 631232 710136 721408 811584 946848 1082112 1262464 1420272 1442816 1623168 1893696 2164224 2524928 2840544 3246336 3787392 4328448 5049856 5681088 6492672 7574784 10099712 11362176 12985344 15149568 22724352 30299136 45448704 90897408