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148842276 = 2231117193491
BaseRepresentation
bin10001101111100…
…10011100100100
3101101001222012220
420313302130210
5301100423101
622434112340
73455065332
oct1067623444
9341058186
10148842276
1177021450
1241a1b6b0
1324ab4c6b
1415aa6b52
15d101636
hex8df2724

148842276 has 96 divisors (see below), whose sum is σ = 422392320. Its totient is φ = 40204800.

The previous prime is 148842271. The next prime is 148842299. The reversal of 148842276 is 672248841.

148842276 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (148842271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40891 + ... + 44381.

It is an arithmetic number, because the mean of its divisors is an integer number (4399920).

Almost surely, 2148842276 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 148842276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211196160).

148842276 is an abundant number, since it is smaller than the sum of its proper divisors (273550044).

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

148842276 is a wasteful number, since it uses less digits than its factorization.

148842276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3543 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 148842276 is about 12200.0932783319. The cubic root of 148842276 is about 529.9587911475.

The spelling of 148842276 in words is "one hundred forty-eight million, eight hundred forty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 323 374 418 561 627 646 748 836 969 1122 1254 1292 1938 2244 2508 3491 3553 3876 6982 7106 10473 10659 13964 14212 20946 21318 38401 41892 42636 59347 66329 76802 115203 118694 132658 153604 178041 198987 230406 237388 265316 356082 397974 460812 652817 712164 729619 795948 1127593 1305634 1459238 1958451 2188857 2255186 2611268 2918476 3382779 3916902 4377714 4510372 6765558 7833804 8755428 12403523 13531116 24807046 37210569 49614092 74421138 148842276