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61148802 = 23113131931
BaseRepresentation
bin1110100101000…
…0111010000010
311021001200101110
43221100322002
5111123230202
610022344150
71341520251
oct351207202
9137050343
1061148802
1131576000
121858b056
13c88cb30
14819a798
15557d26c
hex3a50e82

61148802 has 128 divisors (see below), whose sum is σ = 157409280. Its totient is φ = 15681600.

The previous prime is 61148761. The next prime is 61148863. The reversal of 61148802 is 20884116.

It is a self number, because there is not a number n which added to its sum of digits gives 61148802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1972527 + ... + 1972557.

It is an arithmetic number, because the mean of its divisors is an integer number (1229760).

Almost surely, 261148802 is an apocalyptic number.

61148802 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61148802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78704640).

61148802 is an abundant number, since it is smaller than the sum of its proper divisors (96260478).

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

61148802 is a wasteful number, since it uses less digits than its factorization.

61148802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 61148802 is about 7819.7699454651. The cubic root of 61148802 is about 393.9695450877.

The spelling of 61148802 in words is "sixty-one million, one hundred forty-eight thousand, eight hundred two".

Divisors: 1 2 3 6 11 13 19 22 26 31 33 38 39 57 62 66 78 93 114 121 143 186 209 242 247 286 341 363 403 418 429 494 589 627 682 726 741 806 858 1023 1178 1209 1254 1331 1482 1573 1767 2046 2299 2418 2662 2717 3146 3534 3751 3993 4433 4598 4719 5434 6479 6897 7502 7657 7986 8151 8866 9438 11253 12958 13299 13794 15314 16302 17303 19437 22506 22971 25289 26598 29887 34606 38874 41261 45942 48763 50578 51909 59774 71269 75867 82522 84227 89661 97526 103818 123783 142538 146289 151734 168454 179322 213807 247566 252681 292578 328757 427614 505362 536393 657514 783959 926497 986271 1072786 1567918 1609179 1852994 1972542 2351877 2779491 3218358 4703754 5558982 10191467 20382934 30574401 61148802