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2972925696 = 283131911559
BaseRepresentation
bin1011000100110011…
…0011111100000000
321200012002021101010
42301030303330000
522042032110241
61211000040520
7133446310566
oct26114637400
97605067333
102972925696
111296159094
126ab763140
13384bc5140
14202b99a36
15125ee6d16
hexb1333f00

2972925696 has 144 divisors (see below), whose sum is σ = 8571064320. Its totient is φ = 909373440.

The previous prime is 2972925653. The next prime is 2972925713. The reversal of 2972925696 is 6965292792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1906165 + ... + 1907723.

It is an arithmetic number, because the mean of its divisors is an integer number (59521280).

Almost surely, 22972925696 is an apocalyptic number.

2972925696 is a gapful number since it is divisible by the number (26) 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 2972925696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285532160).

2972925696 is an abundant number, since it is smaller than the sum of its proper divisors (5598138624).

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

2972925696 is a wasteful number, since it uses less digits than its factorization.

2972925696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1768 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 57.

The square root of 2972925696 is about 54524.5421438823. The cubic root of 2972925696 is about 1437.8977967615.

The spelling of 2972925696 in words is "two billion, nine hundred seventy-two million, nine hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 191 192 208 256 312 382 384 416 573 624 764 768 832 1146 1248 1528 1559 1664 2292 2483 2496 3056 3118 3328 4584 4677 4966 4992 6112 6236 7449 9168 9354 9932 9984 12224 12472 14898 18336 18708 19864 20267 24448 24944 29796 36672 37416 39728 40534 48896 49888 59592 60801 73344 74832 79456 81068 99776 119184 121602 146688 149664 158912 162136 199552 238368 243204 297769 299328 317824 324272 399104 476736 486408 595538 598656 635648 648544 893307 953472 972816 1191076 1197312 1297088 1786614 1906944 1945632 2382152 2594176 3573228 3870997 3891264 4764304 5188352 7146456 7741994 7782528 9528608 11612991 14292912 15483988 15565056 19057216 23225982 28585824 30967976 38114432 46451964 57171648 61935952 76228864 92903928 114343296 123871904 185807856 228686592 247743808 371615712 495487616 743231424 990975232 1486462848 2972925696