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148252416 = 2831331479
BaseRepresentation
bin10001101011000…
…10011100000000
3101022222000002020
420311202130000
5300423034131
622413321440
73450060534
oct1065423400
9338860066
10148252416
1176759264
1241796280
1324939630
1415991bc4
15d036996
hex8d62700

148252416 has 144 divisors (see below), whose sum is σ = 439541760. Its totient is φ = 44052480.

The previous prime is 148252399. The next prime is 148252453. The reversal of 148252416 is 614252841.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 309265 + ... + 309743.

Almost surely, 2148252416 is an apocalyptic number.

148252416 is a gapful number since it is divisible by the number (16) 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 148252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770880).

148252416 is an abundant number, since it is smaller than the sum of its proper divisors (291289344).

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

148252416 is a wasteful number, since it uses less digits than its factorization.

148252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 148252416 is about 12175.8948747104. The cubic root of 148252416 is about 529.2577910514.

The spelling of 148252416 in words is "one hundred forty-eight million, two hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 479 496 624 744 768 806 832 958 992 1209 1248 1437 1488 1612 1664 1916 1984 2418 2496 2874 2976 3224 3328 3832 3968 4836 4992 5748 5952 6227 6448 7664 7936 9672 9984 11496 11904 12454 12896 14849 15328 18681 19344 22992 23808 24908 25792 29698 30656 37362 38688 44547 45984 49816 51584 59396 61312 74724 77376 89094 91968 99632 103168 118792 122624 149448 154752 178188 183936 193037 199264 237584 298896 309504 356376 367872 386074 398528 475168 579111 597792 712752 772148 797056 950336 1158222 1195584 1425504 1544296 1594112 1900672 2316444 2391168 2851008 3088592 3801344 4632888 4782336 5702016 6177184 9265776 11404032 12354368 18531552 24708736 37063104 49417472 74126208 148252416