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2930707472 = 2471123591753
BaseRepresentation
bin1010111010101111…
…0000110000010000
321120020122100212012
42232223300300100
522000230114342
61202451122052
7132424413440
oct25653606020
97506570765
102930707472
1112743429a0
126995a3328
13379232a44
141db32a120
15122457b82
hexaeaf0c10

2930707472 has 160 divisors (see below), whose sum is σ = 7516661760. Its totient is φ = 1073064960.

The previous prime is 2930707457. The next prime is 2930707487. The reversal of 2930707472 is 2747070392.

It is an interprime number because it is at equal distance from previous prime (2930707457) and next prime (2930707487).

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, 1670948 + ... + 1672700.

It is an arithmetic number, because the mean of its divisors is an integer number (46979136).

Almost surely, 22930707472 is an apocalyptic number.

2930707472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930707472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758330880).

2930707472 is an abundant number, since it is smaller than the sum of its proper divisors (4585954288).

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

2930707472 is a wasteful number, since it uses less digits than its factorization.

2930707472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 41.

The square root of 2930707472 is about 54136.0090143335. The cubic root of 2930707472 is about 1431.0588392456.

The spelling of 2930707472 in words is "two billion, nine hundred thirty million, seven hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 59 77 88 92 112 118 154 161 176 184 236 253 308 322 368 413 472 506 616 644 649 826 944 1012 1232 1288 1298 1357 1652 1753 1771 2024 2576 2596 2714 3304 3506 3542 4048 4543 5192 5428 6608 7012 7084 9086 9499 10384 10856 12271 14024 14168 14927 18172 18998 19283 21712 24542 28048 28336 29854 36344 37996 38566 40319 49084 59708 72688 75992 77132 80638 98168 103427 104489 119416 134981 151984 154264 161276 196336 206854 208978 238832 269962 282233 308528 322552 413708 417956 443509 539924 564466 645104 723989 827416 835912 887018 1079848 1128932 1137697 1447978 1654832 1671824 1774036 2159696 2257864 2275394 2378821 2895956 3104563 3548072 4515728 4550788 4757642 5791912 6209126 7096144 7963879 9101576 9515284 11583824 12418252 15927758 16651747 18203152 19030568 24836504 26167031 31855516 33303494 38061136 49673008 52334062 63711032 66606988 104668124 127422064 133213976 183169217 209336248 266427952 366338434 418672496 732676868 1465353736 2930707472