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642804148 = 22724769779
BaseRepresentation
bin100110010100000…
…110100110110100
31122210112211112001
4212110012212310
52304024213043
6143441305044
721633513400
oct4624064664
91583484461
10642804148
112aa9342a8
1215b335184
13a32348ac
146152a100
153b67574d
hex265069b4

642804148 has 36 divisors (see below), whose sum is σ = 1336426560. Its totient is φ = 269622192.

The previous prime is 642804139. The next prime is 642804157. The reversal of 642804148 is 841408246.

It is an interprime number because it is at equal distance from previous prime (642804139) and next prime (642804157).

It is a super-3 number, since 3×6428041483 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25678 + ... + 44101.

It is an arithmetic number, because the mean of its divisors is an integer number (37122960).

Almost surely, 2642804148 is an apocalyptic number.

It is an amenable number.

642804148 is an abundant number, since it is smaller than the sum of its proper divisors (693622412).

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

642804148 is a wasteful number, since it uses less digits than its factorization.

642804148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69844 (or 69835 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 642804148 is about 25353.5825476401. The cubic root of 642804148 is about 863.0306576342.

The spelling of 642804148 in words is "six hundred forty-two million, eight hundred four thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 1316 2303 4606 9212 69779 139558 279116 488453 976906 1953812 3279613 3419171 6559226 6838342 13118452 13676684 22957291 45914582 91829164 160701037 321402074 642804148