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61299216 = 24321138699
BaseRepresentation
bin1110100111010…
…1101000010000
311021100022201100
43221311220100
5111143033331
610025504400
71343014626
oct351655020
9137308640
1061299216
1131669010
1218642100
13c913434
1481d9516
1555acae6
hex3a75a10

61299216 has 60 divisors (see below), whose sum is σ = 187153200. Its totient is φ = 18575040.

The previous prime is 61299197. The next prime is 61299221.

61299216 is nontrivially palindromic in base 10.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17766 + ... + 20933.

It is an arithmetic number, because the mean of its divisors is an integer number (3119220).

Almost surely, 261299216 is an apocalyptic number.

61299216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61299216 is an abundant number, since it is smaller than the sum of its proper divisors (125853984).

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

61299216 is a wasteful number, since it uses less digits than its factorization.

61299216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38724 (or 38715 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 61299216 is about 7829.3815847741. The cubic root of 61299216 is about 394.2923097285.

The spelling of 61299216 in words is "sixty-one million, two hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 38699 77398 116097 154796 232194 309592 348291 425689 464388 619184 696582 851378 928776 1277067 1393164 1702756 1857552 2554134 2786328 3405512 3831201 5108268 5572656 6811024 7662402 10216536 15324804 20433072 30649608 61299216