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90342948 = 223191033847
BaseRepresentation
bin1010110001010…
…00011000100100
320021222220020010
411120220120210
5141111433243
612544210220
72144621343
oct530503044
9207886203
1090342948
1146aa5aa3
1226309970
1315942087
14bdd9b5a
157de8433
hex5628624

90342948 has 48 divisors (see below), whose sum is σ = 224107520. Its totient is φ = 28245024.

The previous prime is 90342943. The next prime is 90342949. The reversal of 90342948 is 84924309.

It is not an unprimeable number, because it can be changed into a prime (90342943) 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, 21561 + ... + 25407.

Almost surely, 290342948 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 90342948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112053760).

90342948 is an abundant number, since it is smaller than the sum of its proper divisors (133764572).

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

90342948 is a wasteful number, since it uses less digits than its factorization.

90342948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 90342948 is about 9504.8907410869. The cubic root of 90342948 is about 448.7089712465.

The spelling of 90342948 in words is "ninety million, three hundred forty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 103 114 206 228 309 412 618 1236 1957 3847 3914 5871 7694 7828 11541 11742 15388 23082 23484 46164 73093 146186 219279 292372 396241 438558 792482 877116 1188723 1584964 2377446 4754892 7528579 15057158 22585737 30114316 45171474 90342948