Search a number
-
+
61145496 = 23331947317
BaseRepresentation
bin1110100101000…
…0000110011000
311021001111212000
43221100012120
5111123123441
610022321000
71341504516
oct351200630
9137044760
1061145496
1131573575
1218589160
13c88b489
1481994b6
15557c2b6
hex3a50198

61145496 has 128 divisors (see below), whose sum is σ = 183168000. Its totient is φ = 18838656.

The previous prime is 61145467. The next prime is 61145507. The reversal of 61145496 is 69454116.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61145496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192730 + ... + 193046.

It is an arithmetic number, because the mean of its divisors is an integer number (1431000).

Almost surely, 261145496 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 61145496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91584000).

61145496 is an abundant number, since it is smaller than the sum of its proper divisors (122022504).

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

61145496 is a wasteful number, since it uses less digits than its factorization.

61145496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 61145496 is about 7819.5585553150. The cubic root of 61145496 is about 393.9624449934.

The spelling of 61145496 in words is "sixty-one million, one hundred forty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 47 54 57 72 76 94 108 114 141 152 171 188 216 228 282 317 342 376 423 456 513 564 634 684 846 893 951 1026 1128 1268 1269 1368 1692 1786 1902 2052 2536 2538 2679 2853 3384 3572 3804 4104 5076 5358 5706 6023 7144 7608 8037 8559 10152 10716 11412 12046 14899 16074 17118 18069 21432 22824 24092 24111 29798 32148 34236 36138 44697 48184 48222 54207 59596 64296 68472 72276 89394 96444 108414 119192 134091 144552 162621 178788 192888 216828 268182 283081 325242 357576 402273 433656 536364 566162 650484 804546 849243 1072728 1132324 1300968 1609092 1698486 2264648 2547729 3218184 3396972 5095458 6793944 7643187 10190916 15286374 20381832 30572748 61145496