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2038496148 = 2232135477963
BaseRepresentation
bin111100110000000…
…1111101110010100
312021001210100000100
41321200033232110
513133323334043
6534140014100
7101341634313
oct17140175624
95231710010
102038496148
11956750367
1248a831330
13266435550
14154a3a27a
15bde68cd3
hex7980fb94

2038496148 has 72 divisors (see below), whose sum is σ = 5560082528. Its totient is φ = 626004288.

The previous prime is 2038496077. The next prime is 2038496183. The reversal of 2038496148 is 8416948302.

It is a happy number.

2038496148 is a `hidden beast` number, since 20 + 3 + 8 + 4 + 9 + 614 + 8 = 666.

2038496148 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252015 + ... + 259977.

Almost surely, 22038496148 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 2038496148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780041264).

2038496148 is an abundant number, since it is smaller than the sum of its proper divisors (3521586380).

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

2038496148 is a wasteful number, since it uses less digits than its factorization.

2038496148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8533 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2038496148 is about 45149.7081718144. The cubic root of 2038496148 is about 1267.9534169050.

The spelling of 2038496148 in words is "two billion, thirty-eight million, four hundred ninety-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 547 1094 1641 2188 3282 4923 6564 7111 7963 9846 14222 15926 19692 21333 23889 28444 31852 42666 47778 63999 71667 85332 95556 103519 127998 143334 207038 255996 286668 310557 414076 621114 931671 1242228 1863342 3726684 4355761 8711522 13067283 17423044 26134566 39201849 52269132 56624893 78403698 113249786 156807396 169874679 226499572 339749358 509624037 679498716 1019248074 2038496148