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149274768 = 24341101751
BaseRepresentation
bin10001110010111…
…00000010010000
3101101212221111010
420321130002100
5301203243033
622451250520
73461546256
oct1071340220
9341787433
10149274768
1177297385
1241ba9a40
1324c06a86
1415b7a5d6
15d189863
hex8e5c090

149274768 has 80 divisors (see below), whose sum is σ = 399474432. Its totient is φ = 48000000.

The previous prime is 149274767. The next prime is 149274781. The reversal of 149274768 is 867472941.

It is a super-2 number, since 2×1492747682 = 44565912722907648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (149274767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198393 + ... + 199143.

Almost surely, 2149274768 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 149274768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199737216).

149274768 is an abundant number, since it is smaller than the sum of its proper divisors (250199664).

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

149274768 is a wasteful number, since it uses less digits than its factorization.

149274768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 149274768 is about 12217.8053675773. The cubic root of 149274768 is about 530.4715963856.

The spelling of 149274768 in words is "one hundred forty-nine million, two hundred seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 101 123 164 202 246 303 328 404 492 606 656 751 808 984 1212 1502 1616 1968 2253 2424 3004 4141 4506 4848 6008 8282 9012 12016 12423 16564 18024 24846 30791 33128 36048 49692 61582 66256 75851 92373 99384 123164 151702 184746 198768 227553 246328 303404 369492 455106 492656 606808 738984 910212 1213616 1477968 1820424 3109891 3640848 6219782 9329673 12439564 18659346 24879128 37318692 49758256 74637384 149274768