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90157428 = 22335914149
BaseRepresentation
bin1010101111110…
…11000101110100
320021122110202000
411113323011310
5141040014203
612540215300
72143216434
oct527730564
9207573660
1090157428
1146989679
122623a530
13158a87ba
14bd8c2c4
157dad4a3
hex55fb174

90157428 has 48 divisors (see below), whose sum is σ = 237720000. Its totient is φ = 29541024.

The previous prime is 90157423. The next prime is 90157439. The reversal of 90157428 is 82475109.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90157392 and 90157401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90157423) 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, 703 + ... + 13446.

It is an arithmetic number, because the mean of its divisors is an integer number (4952500).

Almost surely, 290157428 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 90157428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118860000).

90157428 is an abundant number, since it is smaller than the sum of its proper divisors (147562572).

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

90157428 is a wasteful number, since it uses less digits than its factorization.

90157428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14221 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 90157428 is about 9495.1265394412. The cubic root of 90157428 is about 448.4016182235.

The spelling of 90157428 in words is "ninety million, one hundred fifty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 14149 28298 42447 56596 84894 127341 169788 254682 382023 509364 764046 834791 1528092 1669582 2504373 3339164 5008746 7513119 10017492 15026238 22539357 30052476 45078714 90157428