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2491078072 = 23721032599
BaseRepresentation
bin1001010001111010…
…1101010110111000
320102121101212200211
42110132231112320
520100203444242
61051104240504
7115505546200
oct22436552670
96377355624
102491078072
11106916a90a
12596310134
133091274c2
14198bab400
15e8a67317
hex947ad5b8

2491078072 has 72 divisors (see below), whose sum is σ = 5495769000. Its totient is φ = 1055474784.

The previous prime is 2491078033. The next prime is 2491078111. The reversal of 2491078072 is 2708701942.

It is an interprime number because it is at equal distance from previous prime (2491078033) and next prime (2491078111).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4158429 + ... + 4159027.

It is an arithmetic number, because the mean of its divisors is an integer number (76330125).

Almost surely, 22491078072 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 2491078072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747884500).

2491078072 is an abundant number, since it is smaller than the sum of its proper divisors (3004690928).

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

2491078072 is a wasteful number, since it uses less digits than its factorization.

2491078072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 2491078072 is about 49910.7009768446. The cubic root of 2491078072 is about 1355.5923612908.

The spelling of 2491078072 in words is "two billion, four hundred ninety-one million, seventy-eight thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 392 412 599 721 824 1198 1442 2396 2884 4193 4792 5047 5768 8386 10094 10609 16772 20188 21218 29351 33544 40376 42436 58702 61697 74263 84872 117404 123394 148526 234808 246788 297052 431879 493576 519841 594104 863758 1039682 1727516 2079364 3023153 3455032 4158728 6046306 6354791 12092612 12709582 24185224 25419164 44483537 50838328 88967074 177934148 311384759 355868296 622769518 1245539036 2491078072