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63142488 = 23321779653
BaseRepresentation
bin1111000011011…
…1101001011000
311101210222012200
43300313221120
5112131024423
610133210200
71364462613
oct360675130
9141728180
1063142488
1132707982
1219190960
131010a426
14855917a
155823d43
hex3c37a58

63142488 has 96 divisors (see below), whose sum is σ = 183643200. Its totient is φ = 19528704.

The previous prime is 63142463. The next prime is 63142489. The reversal of 63142488 is 88424136.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63142489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96370 + ... + 97022.

It is an arithmetic number, because the mean of its divisors is an integer number (1912950).

Almost surely, 263142488 is an apocalyptic number.

63142488 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63142488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91821600).

63142488 is an abundant number, since it is smaller than the sum of its proper divisors (120500712).

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

63142488 is a wasteful number, since it uses less digits than its factorization.

63142488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 754 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 63142488 is about 7946.2247639996. The cubic root of 63142488 is about 398.2054779324.

The spelling of 63142488 in words is "sixty-three million, one hundred forty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 79 102 136 153 158 204 237 306 316 408 474 612 632 653 711 948 1224 1306 1343 1422 1896 1959 2612 2686 2844 3918 4029 5224 5372 5688 5877 7836 8058 10744 11101 11754 12087 15672 16116 22202 23508 24174 32232 33303 44404 47016 48348 51587 66606 88808 96696 99909 103174 133212 154761 199818 206348 266424 309522 399636 412696 464283 619044 799272 876979 928566 1238088 1753958 1857132 2630937 3507916 3714264 5261874 7015832 7892811 10523748 15785622 21047496 31571244 63142488