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1233738948 = 2231333123893
BaseRepresentation
bin100100110001001…
…0101110011000100
310011222111102200010
41021202111303010
510011314121243
6322231150220
742400415361
oct11142256304
93158442603
101233738948
11583460372
122a5215370
131687a8260
14b9bd3468
15734a2433
hex49895cc4

1233738948 has 48 divisors (see below), whose sum is σ = 3109660736. Its totient is φ = 378449280.

The previous prime is 1233738931. The next prime is 1233738983. The reversal of 1233738948 is 8498373321.

It is a super-2 number, since 2×12337389482 = 3044223583624293408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1233738897 and 1233738906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39690 + ... + 63582.

Almost surely, 21233738948 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 1233738948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554830368).

1233738948 is an abundant number, since it is smaller than the sum of its proper divisors (1875921788).

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

1233738948 is a wasteful number, since it uses less digits than its factorization.

1233738948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24244 (or 24242 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 1233738948 is about 35124.6202541750. The cubic root of 1233738948 is about 1072.5258254712.

The spelling of 1233738948 in words is "one billion, two hundred thirty-three million, seven hundred thirty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 331 662 993 1324 1986 3972 4303 8606 12909 17212 23893 25818 47786 51636 71679 95572 143358 286716 310609 621218 931827 1242436 1863654 3727308 7908583 15817166 23725749 31634332 47451498 94902996 102811579 205623158 308434737 411246316 616869474 1233738948