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71629968 = 2436722273
BaseRepresentation
bin1000100010011…
…11110010010000
311222210011211210
410101033302100
5121314124333
611035140120
71526562504
oct421176220
9158704753
1071629968
1137484723
121bba4640
1311abc6c7
149728304
15644da63
hex444fc90

71629968 has 40 divisors (see below), whose sum is σ = 187814368. Its totient is φ = 23519232.

The previous prime is 71629951. The next prime is 71629969. The reversal of 71629968 is 86992617.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71629969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7921 + ... + 14352.

Almost surely, 271629968 is an apocalyptic number.

It is an amenable number.

71629968 is an abundant number, since it is smaller than the sum of its proper divisors (116184400).

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

71629968 is a wasteful number, since it uses less digits than its factorization.

71629968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22351 (or 22345 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 71629968 is about 8463.4489423639. The cubic root of 71629968 is about 415.3028572656.

The spelling of 71629968 in words is "seventy-one million, six hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 22273 44546 66819 89092 133638 178184 267276 356368 534552 1069104 1492291 2984582 4476873 5969164 8953746 11938328 17907492 23876656 35814984 71629968