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61012608 = 273592693
BaseRepresentation
bin1110100010111…
…1101010000000
311020210202120020
43220233222000
5111104400413
610015413440
71340412216
oct350575200
9136722506
1061012608
1131492748
1218524280
13c842b47
148162cb6
155552c23
hex3a2fa80

61012608 has 64 divisors (see below), whose sum is σ = 164872800. Its totient is φ = 19985408.

The previous prime is 61012603. The next prime is 61012621. The reversal of 61012608 is 80621016.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (61012603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21310 + ... + 24002.

Almost surely, 261012608 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 61012608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82436400).

61012608 is an abundant number, since it is smaller than the sum of its proper divisors (103860192).

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

61012608 is a wasteful number, since it uses less digits than its factorization.

61012608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 61012608 is about 7811.0567786952. The cubic root of 61012608 is about 393.6768374017.

The spelling of 61012608 in words is "sixty-one million, twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1888 2693 2832 3776 5386 5664 7552 8079 10772 11328 16158 21544 22656 32316 43088 64632 86176 129264 158887 172352 258528 317774 344704 476661 517056 635548 953322 1034112 1271096 1906644 2542192 3813288 5084384 7626576 10168768 15253152 20337536 30506304 61012608