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148767948 = 223371910357
BaseRepresentation
bin10001101111000…
…00010011001100
3101100221012021000
420313200103030
5301041033243
622432340300
73454335540
oct1067402314
9340835230
10148767948
1176a8061a
12419a4690
1324a8a194
1415a87a20
15d0d95d3
hex8de04cc

148767948 has 96 divisors (see below), whose sum is σ = 464038400. Its totient is φ = 40264128.

The previous prime is 148767877. The next prime is 148767953. The reversal of 148767948 is 849767841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 148767894 and 148767903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9186 + ... + 19542.

Almost surely, 2148767948 is an apocalyptic number.

148767948 is a gapful number since it is divisible by the number (18) 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 148767948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232019200).

148767948 is an abundant number, since it is smaller than the sum of its proper divisors (315270452).

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

148767948 is a wasteful number, since it uses less digits than its factorization.

148767948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396 (or 10388 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 148767948 is about 12197.0466917201. The cubic root of 148767948 is about 529.8705605345.

The spelling of 148767948 in words is "one hundred forty-eight million, seven hundred sixty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 10357 14364 20714 31071 41428 62142 72499 93213 124284 144998 186426 196783 217497 279639 289996 372852 393566 434994 559278 590349 652491 787132 869988 1118556 1180698 1304982 1377481 1771047 1957473 2361396 2609964 2754962 3542094 3914946 4132443 5313141 5509924 7084188 7829892 8264886 10626282 12397329 16529772 21252564 24794658 37191987 49589316 74383974 148767948