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61007496 = 233111791291
BaseRepresentation
bin1110100010111…
…0011010001000
311020210111112220
43220232122020
5111104214441
610015334040
71340361264
oct350563210
9136714486
1061007496
1131489920
1218521320
13c840714
1481610a4
155551466
hex3a2e688

61007496 has 64 divisors (see below), whose sum is σ = 167443200. Its totient is φ = 18369600.

The previous prime is 61007459. The next prime is 61007519. The reversal of 61007496 is 69470016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46611 + ... + 47901.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 261007496 is an apocalyptic number.

61007496 is a gapful number since it is divisible by the number (66) 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 61007496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721600).

61007496 is an abundant number, since it is smaller than the sum of its proper divisors (106435704).

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

61007496 is a wasteful number, since it uses less digits than its factorization.

61007496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 61007496 is about 7810.7295433909. The cubic root of 61007496 is about 393.6658422306.

The spelling of 61007496 in words is "sixty-one million, seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 179 264 358 537 716 1074 1291 1432 1969 2148 2582 3873 3938 4296 5164 5907 7746 7876 10328 11814 14201 15492 15752 23628 28402 30984 42603 47256 56804 85206 113608 170412 231089 340824 462178 693267 924356 1386534 1848712 2541979 2773068 5083958 5546136 7625937 10167916 15251874 20335832 30503748 61007496