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138948864 = 283239757
BaseRepresentation
bin10000100100000…
…11000100000000
3100200110100000020
420102003010000
5241032330424
621442053440
73305021505
oct1022030400
9320410006
10138948864
117148437a
123a64a280
1322a2ca82
141464d4ac
15c2ea079
hex8483100

138948864 has 72 divisors (see below), whose sum is σ = 371844480. Its totient is φ = 46061568.

The previous prime is 138948833. The next prime is 138948883. The reversal of 138948864 is 468849831.

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, 183174 + ... + 183930.

Almost surely, 2138948864 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 138948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185922240).

138948864 is an abundant number, since it is smaller than the sum of its proper divisors (232895616).

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

138948864 is an equidigital number, since it uses as much as digits as its factorization.

138948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1001 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 138948864 is about 11787.6572736062. The cubic root of 138948864 is about 517.9466162444.

The spelling of 138948864 in words is "one hundred thirty-eight million, nine hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 256 384 478 717 757 768 956 1434 1514 1912 2271 2868 3028 3824 4542 5736 6056 7648 9084 11472 12112 15296 18168 22944 24224 30592 36336 45888 48448 61184 72672 91776 96896 145344 180923 183552 193792 290688 361846 542769 581376 723692 1085538 1447384 2171076 2894768 4342152 5789536 8684304 11579072 17368608 23158144 34737216 46316288 69474432 138948864