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61364352 = 273737617
BaseRepresentation
bin1110101000010…
…1100010000000
311021110122001210
43222011202000
5111202124402
610031130120
71343405550
oct352054200
9137418053
1061364352
1131702a45
1218673940
13c936c8a
148215160
1555c206c
hex3a85880

61364352 has 128 divisors (see below), whose sum is σ = 191629440. Its totient is φ = 17031168.

The previous prime is 61364351. The next prime is 61364371. The reversal of 61364352 is 25346316.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (61364351) 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, 99148 + ... + 99764.

It is an arithmetic number, because the mean of its divisors is an integer number (1497105).

Almost surely, 261364352 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 61364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95814720).

61364352 is an abundant number, since it is smaller than the sum of its proper divisors (130265088).

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

61364352 is a wasteful number, since it uses less digits than its factorization.

61364352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 61364352 is about 7833.5401958501. The cubic root of 61364352 is about 394.4319174550.

It can be divided in two parts, 61364 and 352, that added together give a palindrome (61716).

The spelling of 61364352 in words is "sixty-one million, three hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 259 296 336 384 444 448 518 592 617 672 777 888 896 1036 1184 1234 1344 1554 1776 1851 2072 2368 2468 2688 3108 3552 3702 4144 4319 4736 4936 6216 7104 7404 8288 8638 9872 12432 12957 14208 14808 16576 17276 19744 22829 24864 25914 29616 33152 34552 39488 45658 49728 51828 59232 68487 69104 78976 91316 99456 103656 118464 136974 138208 159803 182632 207312 236928 273948 276416 319606 365264 414624 479409 547896 552832 639212 730528 829248 958818 1095792 1278424 1461056 1658496 1917636 2191584 2556848 2922112 3835272 4383168 5113696 7670544 8766336 10227392 15341088 20454784 30682176 61364352