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61939296 = 2533174217
BaseRepresentation
bin1110110001000…
…1111001100000
311022112211202000
43230101321200
5111324024141
610051324000
71351322016
oct354217140
9138484660
1061939296
1131a65a01
12188b0600
13caa8893
1483248b6
1556875b6
hex3b11e60

61939296 has 96 divisors (see below), whose sum is σ = 191328480. Its totient is φ = 19427328.

The previous prime is 61939291. The next prime is 61939301. The reversal of 61939296 is 69293916.

It is a happy number.

61939296 is a `hidden beast` number, since 619 + 3 + 9 + 29 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (61939291) and next prime (61939301).

It is a tau number, because it is divible by the number of its divisors (96).

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 (61939291) 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, 12580 + ... + 16796.

It is an arithmetic number, because the mean of its divisors is an integer number (1993005).

Almost surely, 261939296 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 61939296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95664240).

61939296 is an abundant number, since it is smaller than the sum of its proper divisors (129389184).

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

61939296 is a wasteful number, since it uses less digits than its factorization.

61939296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4239 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 61939296 is about 7870.1522221619. The cubic root of 61939296 is about 395.6599468242.

The spelling of 61939296 in words is "sixty-one million, nine hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4217 4896 7344 8434 12651 14688 16868 25302 33736 37953 50604 67472 71689 75906 101208 113859 134944 143378 151812 202416 215067 227718 286756 303624 404832 430134 455436 573512 607248 645201 860268 910872 1147024 1214496 1290402 1720536 1821744 1935603 2294048 2580804 3441072 3643488 3871206 5161608 6882144 7742412 10323216 15484824 20646432 30969648 61939296