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61493490 = 23252361487
BaseRepresentation
bin1110101010010…
…1000011110010
311021201012012200
43222211003302
5111220242430
610034004030
71344454212
oct352450362
9137635180
1061493490
1131790a73
1218716616
13c9809a6
14824a242
1555ea460
hex3aa50f2

61493490 has 96 divisors (see below), whose sum is σ = 169917696. Its totient is φ = 15396480.

The previous prime is 61493473. The next prime is 61493501. The reversal of 61493490 is 9439416.

61493490 is a `hidden beast` number, since 614 + 9 + 34 + 9 + 0 = 666.

61493490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×614934904 (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126027 + ... + 126513.

It is an arithmetic number, because the mean of its divisors is an integer number (1769976).

Almost surely, 261493490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61493490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84958848).

61493490 is an abundant number, since it is smaller than the sum of its proper divisors (108424206).

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

61493490 is a wasteful number, since it uses less digits than its factorization.

61493490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 61493490 is about 7841.7784972543. The cubic root of 61493490 is about 394.7084105557.

The spelling of 61493490 in words is "sixty-one million, four hundred ninety-three thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 61 69 90 115 122 138 183 207 230 305 345 366 414 487 549 610 690 915 974 1035 1098 1403 1461 1830 2070 2435 2745 2806 2922 4209 4383 4870 5490 7015 7305 8418 8766 11201 12627 14030 14610 21045 21915 22402 25254 29707 33603 42090 43830 56005 59414 63135 67206 89121 100809 112010 126270 148535 168015 178242 201618 267363 297070 336030 445605 504045 534726 683261 891210 1008090 1336815 1366522 2049783 2673630 3416305 4099566 6149349 6832610 10248915 12298698 20497830 30746745 61493490