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61949448 = 2335112897
BaseRepresentation
bin1110110001010…
…0011000001000
311022120100200000
43230110120020
5111324340243
610051443000
71351363431
oct354243010
9138510600
1061949448
1131a725a0
12188b6460
13cab03a2
148328488
15568a5d3
hex3b14608

61949448 has 96 divisors (see below), whose sum is σ = 189876960. Its totient is φ = 18766080.

The previous prime is 61949441. The next prime is 61949449. The reversal of 61949448 is 84494916.

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

It is not an unprimeable number, because it can be changed into a prime (61949441) 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, 19936 + ... + 22832.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 261949448 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 61949448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94938480).

61949448 is an abundant number, since it is smaller than the sum of its proper divisors (127927512).

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

61949448 is a wasteful number, since it uses less digits than its factorization.

61949448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2913 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 61949448 is about 7870.7971642013. The cubic root of 61949448 is about 395.6815621832.

The spelling of 61949448 in words is "sixty-one million, nine hundred forty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 2897 3564 5346 5794 7128 8691 10692 11588 17382 21384 23176 26073 31867 34764 52146 63734 69528 78219 95601 104292 127468 156438 191202 208584 234657 254936 286803 312876 382404 469314 573606 625752 703971 764808 860409 938628 1147212 1407942 1720818 1877256 2294424 2581227 2815884 3441636 5162454 5631768 6883272 7743681 10324908 15487362 20649816 30974724 61949448