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90626048 = 2111719137
BaseRepresentation
bin1010110011011…
…01100000000000
320022112021120022
411121231200000
5141200013143
612554233012
72150210612
oct531554000
9208467508
1090626048
1147179767
1226425768
1315a10ba6
14c070db2
157e52268
hex566d800

90626048 has 96 divisors (see below), whose sum is σ = 203439600. Its totient is φ = 40108032.

The previous prime is 90626027. The next prime is 90626059. The reversal of 90626048 is 84062609.

It is a junction number, because it is equal to n+sod(n) for n = 90625999 and 90626017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661436 + ... + 661572.

Almost surely, 290626048 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 90626048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101719800).

90626048 is an abundant number, since it is smaller than the sum of its proper divisors (112813552).

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

90626048 is a wasteful number, since it uses less digits than its factorization.

90626048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 90626048 is about 9519.7714258274. The cubic root of 90626048 is about 449.1771762214.

The spelling of 90626048 in words is "ninety million, six hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 137 152 256 272 274 304 323 512 544 548 608 646 1024 1088 1096 1216 1292 2048 2176 2192 2329 2432 2584 2603 4352 4384 4658 4864 5168 5206 8704 8768 9316 9728 10336 10412 17408 17536 18632 19456 20672 20824 34816 35072 37264 38912 41344 41648 44251 70144 74528 82688 83296 88502 140288 149056 165376 166592 177004 280576 298112 330752 333184 354008 596224 661504 666368 708016 1192448 1332736 1416032 2384896 2665472 2832064 4769792 5330944 5664128 11328256 22656512 45313024 90626048