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61928416 = 25111779131
BaseRepresentation
bin1110110000111…
…1001111100000
311022112021211001
43230033033200
5111323202131
610051201344
71351245214
oct354171740
9138467731
1061928416
1131a58810
12188a6254
13caa3944
148320944
155684261
hex3b0f3e0

61928416 has 96 divisors (see below), whose sum is σ = 143700480. Its totient is φ = 25958400.

The previous prime is 61928393. The next prime is 61928431. The reversal of 61928416 is 61482916.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472671 + ... + 472801.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 261928416 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 61928416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850240).

61928416 is an abundant number, since it is smaller than the sum of its proper divisors (81772064).

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

61928416 is a wasteful number, since it uses less digits than its factorization.

61928416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 61928416 is about 7869.4609726461. The cubic root of 61928416 is about 395.6367788055.

The spelling of 61928416 in words is "sixty-one million, nine hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 79 88 131 136 158 176 187 262 272 316 352 374 524 544 632 748 869 1048 1264 1343 1441 1496 1738 2096 2227 2528 2686 2882 2992 3476 4192 4454 5372 5764 5984 6952 8908 10349 10744 11528 13904 14773 17816 20698 21488 23056 24497 27808 29546 35632 41396 42976 46112 48994 59092 71264 82792 97988 113839 118184 165584 175933 195976 227678 236368 331168 351866 391952 455356 472736 703732 783904 910712 1407464 1821424 1935263 2814928 3642848 3870526 5629856 7741052 15482104 30964208 61928416