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1407248052 = 223732291493
BaseRepresentation
bin101001111100000…
…1110011010110100
310122001222121102020
41103320032122310
510340223414202
6351350113140
746605261000
oct12370163264
93561877366
101407248052
1166239a321
1233334b7b0
13195718872
14d4c7b700
15838275bc
hex53e0e6b4

1407248052 has 96 divisors (see below), whose sum is σ = 3848544000. Its totient is φ = 400046976.

The previous prime is 1407248033. The next prime is 1407248149. The reversal of 1407248052 is 2508427041.

1407248052 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 941818 + ... + 943310.

It is an arithmetic number, because the mean of its divisors is an integer number (40089000).

Almost surely, 21407248052 is an apocalyptic number.

1407248052 is a gapful number since it is divisible by the number (12) 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 1407248052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924272000).

1407248052 is an abundant number, since it is smaller than the sum of its proper divisors (2441295948).

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

1407248052 is a wasteful number, since it uses less digits than its factorization.

1407248052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 1407248052 is about 37513.3049996931. The cubic root of 1407248052 is about 1120.6161713660.

The spelling of 1407248052 in words is "one billion, four hundred seven million, two hundred forty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 229 294 343 458 588 686 687 916 1029 1372 1374 1493 1603 2058 2748 2986 3206 4116 4479 4809 5972 6412 8958 9618 10451 11221 17916 19236 20902 22442 31353 33663 41804 44884 62706 67326 73157 78547 125412 134652 146314 157094 219471 235641 292628 314188 341897 438942 471282 512099 683794 877884 942564 1024198 1025691 1367588 1536297 2048396 2051382 2393279 3072594 4102764 4786558 6145188 7179837 9573116 14359674 16752953 28719348 33505906 50258859 67011812 100517718 117270671 201035436 234541342 351812013 469082684 703624026 1407248052