Search a number
-
+
45371370 = 23511229431
BaseRepresentation
bin1010110100010…
…0111111101010
310011101002211010
42231010333222
543103340440
64300244350
71060436022
oct255047752
9104332733
1045371370
112367a200
12132406b6
139527685
146050a82
153eb3580
hex2b44fea

45371370 has 96 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 10595200.

The previous prime is 45371363. The next prime is 45371393. The reversal of 45371370 is 7317354.

It is a super-2 number, since 2×453713702 = 4117122431353800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105055 + ... + 105485.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 245371370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45371370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

45371370 is an abundant number, since it is smaller than the sum of its proper divisors (78733590).

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

45371370 is a wasteful number, since it uses less digits than its factorization.

45371370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 45371370 is about 6735.8273433929. The cubic root of 45371370 is about 356.6651129094.

The spelling of 45371370 in words is "forty-five million, three hundred seventy-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 121 145 165 174 242 290 319 330 363 431 435 605 638 726 862 870 957 1210 1293 1595 1815 1914 2155 2586 3190 3509 3630 4310 4741 4785 6465 7018 9482 9570 10527 12499 12930 14223 17545 21054 23705 24998 28446 35090 37497 47410 52151 52635 62495 71115 74994 104302 105270 124990 137489 142230 156453 187485 260755 274978 312906 374970 412467 521510 687445 782265 824934 1374890 1512379 1564530 2062335 3024758 4124670 4537137 7561895 9074274 15123790 22685685 45371370