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4769500416 = 28317401911
BaseRepresentation
bin1000111000100100…
…01100110100000000
3110022101122201120120
410130102030310000
534231443003131
62105134540240
7226123041012
oct43422146400
913271581516
104769500416
11202829328a
12b11367680
135b01860c5
143336201b2
151cdac5496
hex11c48cd00

4769500416 has 144 divisors (see below), whose sum is σ = 13488830208. Its totient is φ = 1490944000.

The previous prime is 4769500397. The next prime is 4769500459. The reversal of 4769500416 is 6140059674.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5235001 + ... + 5235911.

It is an arithmetic number, because the mean of its divisors is an integer number (93672432).

Almost surely, 24769500416 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 4769500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744415104).

4769500416 is an abundant number, since it is smaller than the sum of its proper divisors (8719329792).

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

4769500416 is a wasteful number, since it uses less digits than its factorization.

4769500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 4769500416 is about 69061.5697475810. The cubic root of 4769500416 is about 1683.2849106832.

The spelling of 4769500416 in words is "four billion, seven hundred sixty-nine million, five hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 401 408 544 768 802 816 911 1088 1203 1604 1632 1822 2176 2406 2733 3208 3264 3644 4352 4812 5466 6416 6528 6817 7288 9624 10932 12832 13056 13634 14576 15487 19248 20451 21864 25664 27268 29152 30974 38496 40902 43728 46461 51328 54536 58304 61948 76992 81804 87456 92922 102656 109072 116608 123896 153984 163608 174912 185844 218144 233216 247792 307968 327216 349824 365311 371688 436288 495584 654432 699648 730622 743376 872576 991168 1095933 1308864 1461244 1486752 1745152 1982336 2191866 2617728 2922488 2973504 3964672 4383732 5235456 5844976 5947008 6210287 8767464 11689952 11894016 12420574 17534928 18630861 23379904 24841148 35069856 37261722 46759808 49682296 70139712 74523444 93519616 99364592 140279424 149046888 198729184 280558848 298093776 397458368 596187552 794916736 1192375104 1589833472 2384750208 4769500416