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5629997256 = 2331337716869
BaseRepresentation
bin1010011111001001…
…01111000011001000
3112112100211111022220
411033210233003020
543012234403011
62330354214040
7256342121112
oct51744570310
915470744286
105629997256
112429a942a4
121111584320
136b952b130
143b5a163b2
1522e3ec506
hex14f92f0c8

5629997256 has 128 divisors (see below), whose sum is σ = 15788908800. Its totient is φ = 1661506560.

The previous prime is 5629997237. The next prime is 5629997291. The reversal of 5629997256 is 6527999265.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5629997256.

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, 816190 + ... + 823058.

It is an arithmetic number, because the mean of its divisors is an integer number (123350850).

Almost surely, 25629997256 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 5629997256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894454400).

5629997256 is an abundant number, since it is smaller than the sum of its proper divisors (10158911544).

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

5629997256 is a wasteful number, since it uses less digits than its factorization.

5629997256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6995 counting only the distinct ones).

The product of its digits is 18370800, while the sum is 60.

The square root of 5629997256 is about 75033.3076440057. The cubic root of 5629997256 is about 1778.9731543284.

The spelling of 5629997256 in words is "five billion, six hundred twenty-nine million, nine hundred ninety-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 71 74 78 104 111 142 148 156 213 222 284 296 312 426 444 481 568 852 888 923 962 1443 1704 1846 1924 2627 2769 2886 3692 3848 5254 5538 5772 6869 7384 7881 10508 11076 11544 13738 15762 20607 21016 22152 27476 31524 34151 41214 54952 63048 68302 82428 89297 102453 136604 164856 178594 204906 254153 267891 273208 357188 409812 487699 508306 535782 714376 762459 819624 975398 1016612 1071564 1463097 1524918 1950796 2033224 2143128 2926194 3049836 3303989 3901592 5852388 6099672 6340087 6607978 9911967 11704776 12680174 13215956 18044863 19020261 19823934 25360348 26431912 36089726 38040522 39647868 50720696 54134589 72179452 76081044 79295736 108269178 144358904 152162088 216538356 234583219 433076712 469166438 703749657 938332876 1407499314 1876665752 2814998628 5629997256