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61435416 = 2337317439
BaseRepresentation
bin1110101001011…
…0111000011000
311021121020112210
43222112320120
5111211413131
610032435120
71344123000
oct352267030
9137536483
1061435416
1131751379
12186a8aa0
13c960423
148233000
1555d8146
hex3a96e18

61435416 has 128 divisors (see below), whose sum is σ = 190080000. Its totient is φ = 16482816.

The previous prime is 61435373. The next prime is 61435421. The reversal of 61435416 is 61453416.

61435416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139725 + ... + 140163.

It is an arithmetic number, because the mean of its divisors is an integer number (1485000).

Almost surely, 261435416 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 61435416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95040000).

61435416 is an abundant number, since it is smaller than the sum of its proper divisors (128644584).

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

61435416 is a wasteful number, since it uses less digits than its factorization.

61435416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 468 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 61435416 is about 7838.0747636138. The cubic root of 61435416 is about 394.5841181799.

The spelling of 61435416 in words is "sixty-one million, four hundred thirty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 343 357 392 408 439 476 588 686 714 833 878 952 1029 1176 1317 1372 1428 1666 1756 2058 2499 2634 2744 2856 3073 3332 3512 4116 4998 5268 5831 6146 6664 7463 8232 9219 9996 10536 11662 12292 14926 17493 18438 19992 21511 22389 23324 24584 29852 34986 36876 43022 44778 46648 52241 59704 64533 69972 73752 86044 89556 104482 129066 139944 150577 156723 172088 179112 208964 258132 301154 313446 365687 417928 451731 516264 602308 626892 731374 903462 1097061 1204616 1253784 1462748 1806924 2194122 2559809 2925496 3613848 4388244 5119618 7679427 8776488 10239236 15358854 20478472 30717708 61435416