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4013903808 = 26343124977
BaseRepresentation
bin1110111100111111…
…0100111111000000
3101100201212102220000
43233033310333000
531210024410213
61502143520000
7201316422315
oct35717647700
911321772800
104013903808
11177a820382
129402b9000
134bc77c115
142a1132d0c
151875bec73
hexef3f4fc0

4013903808 has 140 divisors (see below), whose sum is σ = 12282781632. Its totient is φ = 1294755840.

The previous prime is 4013903807. The next prime is 4013903809. The reversal of 4013903808 is 8083093104.

It is an interprime number because it is at equal distance from previous prime (4013903807) and next prime (4013903809).

It is a super-2 number, since 2×40139038082 = 32222847559753801728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013903807) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148216 + ... + 173192.

Almost surely, 24013903808 is an apocalyptic number.

4013903808 is a gapful number since it is divisible by the number (48) 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 4013903808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141390816).

4013903808 is an abundant number, since it is smaller than the sum of its proper divisors (8268877824).

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

4013903808 is a wasteful number, since it uses less digits than its factorization.

4013903808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25032 (or 25013 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4013903808 is about 63355.3771040785. The cubic root of 4013903808 is about 1589.2381683206.

The spelling of 4013903808 in words is "four billion, thirteen million, nine hundred three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8928 10044 13392 17856 20088 24977 26784 40176 49954 53568 74931 80352 99908 149862 160704 199816 224793 299724 399632 449586 599448 674379 774287 799264 899172 1198896 1348758 1548574 1598528 1798344 2023137 2322861 2397792 2697516 3097148 3596688 4046274 4645722 4795584 5395032 6194296 6968583 7193376 8092548 9291444 10790064 12388592 13937166 14386752 16185096 18582888 20905749 21580128 24777184 27874332 32370192 37165776 41811498 43160256 49554368 55748664 62717247 64740384 74331552 83622996 111497328 125434494 129480768 148663104 167245992 222994656 250868988 334491984 445989312 501737976 668983968 1003475952 1337967936 2006951904 4013903808