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148831248 = 24329313449
BaseRepresentation
bin10001101111011…
…11110000010000
3101101001102002110
420313233300100
5301100044443
622433545320
73455021226
oct1067576020
9341042073
10148831248
1177014135
1241a15240
1324aacc37
1415aa2b16
15d0ed233
hex8defc10

148831248 has 80 divisors (see below), whose sum is σ = 410688000. Its totient is φ = 46341120.

The previous prime is 148831231. The next prime is 148831253. The reversal of 148831248 is 842138841.

It is a happy number.

148831248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 41428 + ... + 44876.

It is an arithmetic number, because the mean of its divisors is an integer number (5133600).

Almost surely, 2148831248 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 148831248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205344000).

148831248 is an abundant number, since it is smaller than the sum of its proper divisors (261856752).

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

148831248 is a wasteful number, since it uses less digits than its factorization.

148831248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3514 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 148831248 is about 12199.6413062024. The cubic root of 148831248 is about 529.9457022813.

The spelling of 148831248 in words is "one hundred forty-eight million, eight hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 186 232 248 348 372 464 496 696 744 899 1392 1488 1798 2697 3449 3596 5394 6898 7192 10347 10788 13796 14384 20694 21576 27592 41388 43152 55184 82776 100021 106919 165552 200042 213838 300063 320757 400084 427676 600126 641514 800168 855352 1200252 1283028 1600336 1710704 2400504 2566056 3100651 4801008 5132112 6201302 9301953 12402604 18603906 24805208 37207812 49610416 74415624 148831248