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148821816 = 2331113103421
BaseRepresentation
bin10001101111011…
…01011100111000
3101101000221011010
420313231130320
5301044244231
622433433520
73454651563
oct1067553470
9341027133
10148821816
1177008040
1241a0b8a0
1324aa8860
1415a9d4da
15d0ea546
hex8ded738

148821816 has 128 divisors (see below), whose sum is σ = 442391040. Its totient is φ = 41126400.

The previous prime is 148821811. The next prime is 148821821. The reversal of 148821816 is 618128841.

It is an interprime number because it is at equal distance from previous prime (148821811) and next prime (148821821).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148821811) 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, 353286 + ... + 353706.

It is an arithmetic number, because the mean of its divisors is an integer number (3456180).

Almost surely, 2148821816 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 148821816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221195520).

148821816 is an abundant number, since it is smaller than the sum of its proper divisors (293569224).

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

148821816 is a wasteful number, since it uses less digits than its factorization.

148821816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 148821816 is about 12199.2547313350. The cubic root of 148821816 is about 529.9345071559.

The spelling of 148821816 in words is "one hundred forty-eight million, eight hundred twenty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 103 104 132 143 156 206 264 286 309 312 412 421 429 572 618 824 842 858 1133 1144 1236 1263 1339 1684 1716 2266 2472 2526 2678 3368 3399 3432 4017 4532 4631 5052 5356 5473 6798 8034 9064 9262 10104 10712 10946 13596 13893 14729 16068 16419 18524 21892 27192 27786 29458 32136 32838 37048 43363 43784 44187 55572 58916 60203 65676 86726 88374 111144 117832 120406 130089 131352 173452 176748 180609 240812 260178 346904 353496 361218 476993 481624 520356 563719 722436 953986 1040712 1127438 1430979 1444872 1691157 1907972 2254876 2861958 3382314 3815944 4509752 5723916 6200909 6764628 11447832 12401818 13529256 18602727 24803636 37205454 49607272 74410908 148821816